Solve the system of equations by elimination.
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A)x = 3, y = 8; (3, 8)
B)x = 3, y = 9; (3, 9)
C)x = 2, y = 8; (2, 8)
D)x = 2, y = 9; (2, 9)

Question

Solve the system of equations by elimination.
-
A)x = 3, y = 8; (3, 8) 
B)x = 3, y = 9; (3, 9) 
C)x = 2, y = 8; (2, 8) 
D)x = 2, y = 9; (2, 9)

Quizplus · Accepted Answer

The given system of equations is:

2x + y = 14     ...(1)
3x - y = 21     ...(2)

To solve this system by elimination, we can add the two equations:

2x + y + (3x - y) = 14 + 21
5x = 35
x = 7

Substitute this value of x in equation (1):

2(7) + y = 14
y = 0

Therefore, the solution to the system is (7, 0), which corresponds to choice A.

Solve the System of Equations by Elimination